x^4-5x^2+10x-6怎么解?

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x^4-5x^2+10x-6怎么解?

x^4-5x^2+10x-6怎么解?
x^4-5x^2+10x-6怎么解?

x^4-5x^2+10x-6怎么解?
x^4 - 5x^2 + 10x - 6
= x^4 - x^2 - ( 4x^2 - 4x ) + 6x - 6
= x^2 ( x^2 - 1 ) - 4x ( x - 1 ) + 6 ( x -1 )
= x^2 ( x + 1 ) ( x - 1 ) - 4x ( x - 1 ) + 6 ( x - 1 )
= (x-1) [ x^2 ( x + 1 ) - 4x + 6 )
= (x-1) ( x^3 + x^2 - 4x + 6 )
= (x-1) ( x^3 + 8 + x^2 - 2x + 4 - 2x - 6 )
= (x-1) [ (x+2)(x^2 - 2x + 4) + x^2 - 2x + 4 - 2x - 6 )
= (x-1) [ (x+3)(x^2 - 2x + 4) - 2 (x+3) ]
= (x-1) [ (x+3)(x^2 - 2x + 2) ]
x^2 - 2x + 2 = (x-1)^2 + 1 > 0
所以 x^4 - 5x^2 + 10x - 6 = 0 的解是 x = 1 或 x = -3
这个应该是对的啦~

1/(x+1)(x+2)+1/(x+3)(x+4)+1/(x+5)(x+6)+1/(x+7)(x+8)+1/(x+9)(x+10)怎么解 x^4-5x^2+10x-6怎么解? 1+x+x^2+x^3+x^4+x^5+x^6+x^7+x^8+x^9+x^10+x^11+x^12=97.8x+x^2+x^3+x^4+x^5+x^6+x^7+x^8+x^9+x^10+x^11+x^12=97.8 好多年没有用过过数学公式了 想不起来怎么算了 想知道 X值是多少 x-1+x-2+x-3+x-4+x-5+x-6+x-7=77怎么解速度! 5x-4/x-2=4x+10/3x-6-1 怎么解 5x-4/x-2=4x 10/3x-6-1 怎么解 7x(x-6)+3x=4x(2x+5)怎么解这个方程 X/6+X/12+X/7+5+X/2+4=X怎么解写过程 *-----------------------------------------------*| 6 4 X | 8 X X | X X 5 || X X X | X X X | X 7 8 || X X X | X X X | X X X ||---------------+---------------+--------------- || X X X | X X X | 5 1 X || X X X | X 6 X | X X X || 8 X X | 3 5 X | 2 X X || (x-1)(x-2)(x-3)(x-4)-(x^2-5x)^2-10(x^2-5x)怎么算? x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1怎么分解因式 1x+2x+3x+4x+5x+6x+7x+8x+9x+10x+11x+12x+13x+14x+15x=550必须用解方程 解九宫格题目(X为未知数)9 X 2 X 7 X 8 X XX X 4 X X 9 X 6 X1 3 X 5 X X X X 24 X X 8 5 X X 1 XX 8 9 4 X 1 6 7 XX 1 X X 3 6 X X 88 X X X X 2 X 3 6X 5 X 6 X X 9 X XX X 7 X 4 X 2 X 1 (x^2+1)-3x(x-1)+2(x^2+x-1),其中x=102/5怎么做?另外还有一道解方程的:5(x^2+x-3)-4x(6+x)+x(4-x)=0, [ 4X-2(10-X)] - [ 5 (14-X) - 10+X-14]=10怎么解 x^2-6x-5怎么解 =(x^2-5x+4)(x^2-5x+6) =(x^2-5x)^2+10(x^2-5x)+24 是怎么转化的(X-1)(X-2)(X-3)(X-4) =(X-1)(X-4) (X-2)(X-3)=(x^2-5x+4)(x^2-5x+6)=(x^2-5x)^2+10(x^2-5x)+24=x^4-10x^3+25x^2+10x^2-50x+24=x^4-10x^3+35x^2-50x+24不好意思我弄错了,是=(x^2-5 =(x^2-5x)^2+10(x^2-5x)+24 =x^4-10x^3+25x^2+10x^2-50x+24 这是怎么转化的(X-1)(X-2)(X-3)(X-4) =(X-1)(X-4) (X-2)(X-3)=(x^2-5x+4)(x^2-5x+6)=(x^2-5x)^2+10(x^2-5x)+24=x^4-10x^3+25x^2+10x^2-50x+24=x^4-10x^3+35x^2-50x+24